Relation between paid and organic search?

I want to know if there is any relation between paid and organic search. Let's say that I increase the monthly budget from U$ 5000 to U$20.000, will the organic search increase in the same proportion?

Answer:
yeah
No, not at all. Organic results have to do with the tags you have buit into your site, the relevancy of your content and how often people click on your organic result (among several other factors).

Your paid results are tied to relevancy of content, the power of your ad and the strength of your landing page.

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